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| Author | : Ed Southall |
| Publisher | : SAGE |
| Total Pages | : 337 |
| Release | : 2017-02-13 |
| Genre | : Education |
| ISBN | : 152641242X |
This book sheds light on the hidden connections between everything in mathematics so teachers can explain it while fully understanding it themselves.
| Author | : Ed Southall |
| Publisher | : SAGE |
| Total Pages | : 401 |
| Release | : 2021-04-07 |
| Genre | : Education |
| ISBN | : 152973648X |
The bestselling essential guide for mathematics teachers and those training to teach, Yes, but why? answers all your questions, and sheds light on the hidden connections between everything in mathematics at school. The new edition includes a new ′Test Yourself′ feature, additional coverage on fractions and much more!
| Author | : Liping Ma |
| Publisher | : Routledge |
| Total Pages | : 290 |
| Release | : 2010-03-26 |
| Genre | : Education |
| ISBN | : 1135149496 |
Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.
| Author | : John SanGiovanni |
| Publisher | : Corwin Press |
| Total Pages | : 408 |
| Release | : 2017-09-12 |
| Genre | : Education |
| ISBN | : 1506379834 |
See a gap in understanding? Mine it to move your students forward. How good are you at exploiting students’ mathematical mistakes? In this remarkable book, the authors remind us that student mistakes are not random, and when we take the time to “mine the gap,” we can dispel misunderstandings before they take root. Included are 180 downloadable high-quality tasks, aligned to the standards and big ideas of grades 6–8 mathematics. Each task includes sample student work, commentary on strengths and gaps, and next instructional steps. Whether you use this bank of tasks for instruction or assessment, you will love how it helps you easily identify students’ thinking and then follow up with instruction that brings clear, complete understanding.
| Author | : Carol Ann Tomlinson |
| Publisher | : ASCD |
| Total Pages | : 209 |
| Release | : 2006-01-15 |
| Genre | : Education |
| ISBN | : 141660376X |
Teachers struggle every day to bring quality instruction to their students. Beset by lists of content standards and accompanying "high-stakes" accountability tests, many educators sense that both teaching and learning have been redirected in ways that are potentially impoverishing for those who teach and those who learn. Educators need a model that acknowledges the centrality of standards but also ensures that students truly understand content and can apply it in meaningful ways. For many educators, Understanding by Design addresses that need. Simultaneously, teachers find it increasingly difficult to ignore the diversity of the learners who populate their classrooms. Few teachers find their work effective or satisfying when they simply "serve up" a curriculum—even an elegant one—to students with no regard for their varied learning needs. For many educators, Differentiated Instruction offers a framework for addressing learner variance as a critical component of instructional planning. In this book the two models converge, providing readers fresh perspectives on two of the greatest contemporary challenges for educators: crafting powerful curriculum in a standards-dominated era and ensuring academic success for the full spectrum of learners. Each model strengthens the other. Understanding by Design is predominantly a curriculum design model that focuses on what we teach. Differentiated Instruction focuses on whom we teach, where we teach, and how we teach. Carol Ann Tomlinson and Jay McTighe show you how to use the principles of backward design and differentiation together to craft lesson plans that will teach essential knowledge and skills for the full spectrum of learners. Connecting content and kids in meaningful ways is what teachers strive to do every day. In tandem, UbD and DI help educators meet that goal by providing structures, tools, and guidance for developing curriculum and instruction that bring to students the best of what we know about effective teaching and learning.
| Author | : Max A. Sobel |
| Publisher | : Allyn & Bacon |
| Total Pages | : 0 |
| Release | : 1999 |
| Genre | : Mathematics |
| ISBN | : 9780205292561 |
Teaching junior and senior high school math classes. Instructors of mathematics, school administrators, math specialists, and parents.
| Author | : Jo Boaler |
| Publisher | : Penguin |
| Total Pages | : 296 |
| Release | : 2008 |
| Genre | : Education |
| ISBN | : 9780670019526 |
Discusses how to make mathematics for children enjoyable and why it is important for American children to succeed in mathematics and choose math-based career paths in the future.
| Author | : Grant P. Wiggins |
| Publisher | : ASCD |
| Total Pages | : 383 |
| Release | : 2005 |
| Genre | : Education |
| ISBN | : 1416600353 |
What is understanding and how does it differ from knowledge? How can we determine the big ideas worth understanding? Why is understanding an important teaching goal, and how do we know when students have attained it? How can we create a rigorous and engaging curriculum that focuses on understanding and leads to improved student performance in today's high-stakes, standards-based environment? Authors Grant Wiggins and Jay McTighe answer these and many other questions in this second edition of Understanding by Design. Drawing on feedback from thousands of educators around the world who have used the UbD framework since its introduction in 1998, the authors have greatly revised and expanded their original work to guide educators across the K-16 spectrum in the design of curriculum, assessment, and instruction. With an improved UbD Template at its core, the book explains the rationale of backward design and explores in greater depth the meaning of such key ideas as essential questions and transfer tasks. Readers will learn why the familiar coverage- and activity-based approaches to curriculum design fall short, and how a focus on the six facets of understanding can enrich student learning. With an expanded array of practical strategies, tools, and examples from all subject areas, the book demonstrates how the research-based principles of Understanding by Design apply to district frameworks as well as to individual units of curriculum. Combining provocative ideas, thoughtful analysis, and tested approaches, this new edition of Understanding by Design offers teacher-designers a clear path to the creation of curriculum that ensures better learning and a more stimulating experience for students and teachers alike.
| Author | : Jordan Ellenberg |
| Publisher | : Penguin |
| Total Pages | : 482 |
| Release | : 2015-05-26 |
| Genre | : Mathematics |
| ISBN | : 0143127535 |
“Witty, compelling, and just plain fun to read . . ." —Evelyn Lamb, Scientific American The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.
| Author | : Lou Edward Matthews |
| Publisher | : Corwin Press |
| Total Pages | : 173 |
| Release | : 2022-03-08 |
| Genre | : Education |
| ISBN | : 1071841688 |
Empower your students as they reimagine the world around them through mathematics Culturally relevant mathematics teaching engages and empowers students, helping them learn and understand math more deeply and make connections to themselves, their communities, and the world around them. The mathematics task provides opportunities for a direct pathway to this goal; however, how can you find, adapt, and implement math tasks that build powerful learners? Engaging in Culturally Relevant Math Tasks helps teachers to design and refine inspiring mathematics learning experiences driven by the kind of high-quality and culturally relevant mathematics tasks that connect students to their world. With the goal of inspiring all students to see themselves as doers of mathematics, this book provides intensive, in-the-moment guidance and practical classroom tools that empower educators to shape culturally relevant experiences while systematically building tasks that are standards-based. It includes A pathway for moving through the process of asking, imagining, planning, creating, and improving culturally relevant math tasks. Tools and strategies for designing culturally relevant math tasks that preservice, novice, and veteran teachers can use to grow their practice day by day. Research-based teaching practices seen through the lens of culturally relevant instruction that help students develop deep conceptual understanding, procedural knowledge, fluency, and application in all K-5 mathematical content. Examples, milestones, opportunities for reflection, and discussion questions guide educators to strengthen their classroom practices, and to reimagine math instruction in response. This book is for any educator who wants to teach mathematics in a more authentic, inclusive, and meaningful way, and it is especially beneficial for teachers whose students are culturally different from them.
